Table 2 Performance of various grading... | Emerald Publishing

Table 2

Performance of various grading entropy permeability-prediction models for combined data sets X and Y

Data set	Model	Parameter value	Goodness of fit		p-value
Combined data sets X and Y (n = 47)	$k_{P} = C_{1} A^{C_{2}} B^{C_{3}}$	C₁ = 0·10 m/s, C₂ = 12·36, C₃ = −4·17	R² = 0·86	$R_{a}^{2} = 0 \cdot 84$	<0·0001
Combined data sets X and Y (n = 47)	$k_{P} = C_{1} A^{C_{2}} B^{C_{3}} e^{C_{4}}$	C₁ = 1·62 m/s, C₂ = 5·65, C₃ = −2·35, C₄ = 7·99	0·94	0·93	<0·0001
Well-graded soils (n = 20)	$k_{P} = C_{1} A^{C_{2}}$	C₁ = 1·45 m/s, C₂ = 18·47	0·93	0·92	<0·0001
	$k_{P} = C_{1} A^{C_{2}} B^{C_{3}}$	C₁ = 2·98 m/s, C₂ = 20·07, C₃ = 1·68	0·94	0·92	<0·0001
	$k_{P} = C_{1} A^{C_{2}} B^{C_{3}} e^{C_{4}}$	C₁ = 8·79 m/s, C₂ = 11·41, C₃ = 1·10, C₄ = 6·51	0·99	0·98	<0·0001
Poorly graded soils (n = 27)	$k_{P} = C_{1} B^{C_{3}}$	C₁ = 2·14 × 10⁻⁴ m/s, C₂ = −12·85	0·81	0·79	<0·0001
	$k_{P} = C_{1} A^{C_{2}} B^{C_{3}}$	C₁ = 8·14 × 10⁻³ m/s, C₂ = 7·53, C₃ = −7·76	0·87	0·84	<0·0001
	$k_{P} = C_{1} A^{C_{2}} B^{C_{3}} e^{C_{4}}$	C₁ = 0·18 m/s, C₂ = 2·34, C₃ = −5·12, C₄ = 7·58	0·95	0·93	<0·0001

Data set	Model	Parameter value	Goodness of fit		p-value
Combined data sets X and Y (n = 47)	$k_{P} = C_{1} A^{C_{2}} B^{C_{3}}$	C₁ = 0·10 m/s, C₂ = 12·36, C₃ = −4·17	R² = 0·86	$R_{a}^{2} = 0 \cdot 84$	<0·0001
Combined data sets X and Y (n = 47)	$k_{P} = C_{1} A^{C_{2}} B^{C_{3}} e^{C_{4}}$	C₁ = 1·62 m/s, C₂ = 5·65, C₃ = −2·35, C₄ = 7·99	0·94	0·93	<0·0001
Well-graded soils (n = 20)	$k_{P} = C_{1} A^{C_{2}}$	C₁ = 1·45 m/s, C₂ = 18·47	0·93	0·92	<0·0001
	$k_{P} = C_{1} A^{C_{2}} B^{C_{3}}$	C₁ = 2·98 m/s, C₂ = 20·07, C₃ = 1·68	0·94	0·92	<0·0001
	$k_{P} = C_{1} A^{C_{2}} B^{C_{3}} e^{C_{4}}$	C₁ = 8·79 m/s, C₂ = 11·41, C₃ = 1·10, C₄ = 6·51	0·99	0·98	<0·0001
Poorly graded soils (n = 27)	$k_{P} = C_{1} B^{C_{3}}$	C₁ = 2·14 × 10⁻⁴ m/s, C₂ = −12·85	0·81	0·79	<0·0001
	$k_{P} = C_{1} A^{C_{2}} B^{C_{3}}$	C₁ = 8·14 × 10⁻³ m/s, C₂ = 7·53, C₃ = −7·76	0·87	0·84	<0·0001
	$k_{P} = C_{1} A^{C_{2}} B^{C_{3}} e^{C_{4}}$	C₁ = 0·18 m/s, C₂ = 2·34, C₃ = −5·12, C₄ = 7·58	0·95	0·93	<0·0001